Non-negative matrix factorization: Difference between revisions

Revision as of 18:29, 17 September 2006

Revision as of 13:51, 2 October 2006

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The full decomposition of '''X''' then amounts to the two non-negative matrices '''W''' and '''H''' as well as a residual '''U''':

: <math>\mathbf{X} = \mathbf{WH + U} </math>

The elements of the residual matrix are can either be negative and positive - at least in the typical application of NMF.

Early work research on non-negative matrix factorizations was performed by a Finnish group of researchers in the middle of the 1990s under the name ''positive matrix factorization''.